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Finding the Fourth Proportional to 271,807.90, 407,711.85 and 231,567.10

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Solution

The fourth proportional to 271,807.90, 407,711.85 and 231,567.10 is: 347,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.90 : 407,711.85 = 231,567.10 : x
  2. Step 2: Convert to fraction form
    271,807.90/407,711.85 = 231,567.10/x
  3. Step 3: Cross multiply
    271,807.90x = 407,711.85 × 231,567.10
  4. Step 4: Simplify right side
    271,807.90x = 94,412,650,740.14
  5. Step 5: Solve for x
    x = 94,412,650,740.14/271,807.90
  6. Step 6: Final answer
    x = 347,350.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.